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Finding the Fourth Proportional to 498.23, 747.36 and 209.47

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Solution

The fourth proportional to 498.23, 747.36 and 209.47 is: 314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 747.36 = 209.47 : x
  2. Step 2: Convert to fraction form
    498.23/747.36 = 209.47/x
  3. Step 3: Cross multiply
    498.23x = 747.36 × 209.47
  4. Step 4: Simplify right side
    498.23x = 156,545.76
  5. Step 5: Solve for x
    x = 156,545.76/498.23
  6. Step 6: Final answer
    x = 314.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.